Jiaqun Wei

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math.RT2026

On simples in a cosilting heart and mutation of cosilting pairs

Ramin Ebrahimi, Rasool Hafezi, Jiaqun Wei

Let $A$ be a finite dimensional algebra. The lattice of torsion pairs in $mod (A)$ is controlled by cosilting pairs, infinitely generated analogues of support $τ^{-}$ -tilting pai…

math.RT2026

Model structures arising from weak cotorsion pairs

Ramin Ebrahimi, Rasool Hafezi, Jiaqun Wei

Let $A$ be an abelian category. Beligiannis and Reiten proved that there is a bijective correspondence between so-called projective model structures on $A$ and…

math.RT2026

AIR tilting subcategories of extended hearts

Jiaqun Wei, Yu Zhou

We introduce the notion of AIR tilting subcategories of extended hearts of $t$ -structures on a triangulated category associated with silting subcategories. This notion generalizes…

math.RT2025

Wakamatsu-tilting subcategories in extriangulated categories

Zhiwei Zhu, Jiaqun Wei

Let $C$ be an extriangulated category with enough projectives and injectives. We give the definitions of Wakamatsu-tilting subcategories and Wakamatsu-cotilting subcatego…